I can't find how big the COOP part is, but it looks like it might be 6 feet each way.
(I think you know to ignore how many chickens the manufacturer says it can house!)
Might work, depending on what kind of wire is already on there.
The description says there is 1/2" hardware cloth over the windows and the ventilation slot.
If they bothered to think of that, they may have gotten the run right too.
I would get the coop before actually buying anything extra--you will probably find something that is better than you expected, and something else that is worse